*-A bicommutant is its own bicommutant.

*-A documentary and interview with Thomas Christian Sneum, whose story Follets book is based upon.

*-A variant of the SIMON 120 is in service with the U. S. Army as the M100 Grenade Rifle Entry Munition ( GREM ).

*-A scanned copy of the second edition is here.

*-A different version which is missing the ending.

*-A mysterious boy encountered during Shigeki's travels, his purpose in the Denjū world is unclear.

*-A strong hot-tempered Denjū ; it is assigned by Musa as Shigeki's first partner in the Power Version.

*-A swift faithful Denjū ; it is assigned by Musa as Shigeki's first partner in the Speed Version.

*-A high school delinquent from Osaka who is in his late 20s after being held back repeatedly for many years.

*-A professional wrestler from Italy in his 40s who believes that wrestling is the strongest martial art.

*-A hidden final opponent in Fighter's History Dynamite, he is based on the ox that player faced in the early Data East fighting game Karate Champ.

*-A number of vehicles are used by the security forces.

*-A modern illustrated guide to identification of US waterfowl.

* phraseup *-A writing assistant that helps with completing sentences by finding the missing words we can't recall.

*-A fictionalized account of the death of Reinhard Heydrich and the reprisal against Licide.

*-A concise compilation of technical terms.

*-A slowly developing web-guide to Central.

*-A review of Tuxedo Park in American Scientist pointing out a few errors and exaggerations in the book.

*-A review of Tuxedo Park at SIAM news.

*-A high-ranking member of the science division on Second Earth.

*-A hypertextual electronic workshop.

*-A former Shocker who freed Hongo and was killed by Shocker agent Spider Man.

*-A joint resolution directing the United States to initiate international discussions and take necessary steps with other Nations to negotiate an agreement for managing migratory and transboundary fish stocks in the Arctic Ocean ( Sen. Stevens ( AK ) – Natural Resources )

*-A battleship in service from 1882 to 1909.

*-A made-for-TV film about the act in which President Clinton appears briefly as himself.

* phraseup *-A writing assistant that helps with completing sentences by finding the missing words we can't recall.

*-A retired assassin and the man who trained Ash to become Dino Golzine's heir.

*-A former member of Ash's street gang who allies himself with Golzine in order to usurp Ash.

*-A Vietnam War veteran and journalist who has trouble with his ex-wife.

*-A girl with floating hands.

*-A bounty hunter who wants to defeat Headdy and upstage him.

*-A monkey-like head.

*-A medallion who claims to belong to the greatest puppet in the world.

So the commutant S ’ of any subset S of L ( H ) is weakly closed.

It is true in general that S ⊂ S ′′ for any set S, and that any commutant S ′ is strongly closed.

In algebra, the bicommutant of a subset S of a semigroup ( such as an algebra or a group ) is the commutant of the commutant of that subset.

It is also known as the double commutant or second commutant and is written.

The bicommutant is particularly useful in operator theory, due to the von Neumann double commutant theorem, which relates the algebraic and analytic structures of operator algebras.

So, i. e. the commutant of the bicommutant of S is equal to the commutant of S. By induction, we have:

In algebra, the commutant of a subset S of a semigroup ( such as an algebra or a group ) A is the subset S ′ of elements of A commuting with every element of S. In other words,

According to Tomita – Takesaki theory, every vector which is cyclic for the factor and its commutant gives rise to a 1-parameter modular automorphism group.

* the relative commutant N ' M is C.

Since any bimodule corresponds to the commuting actions of two factors, each factor is contained in the commutant of the other and therefore defines a subfactor.